试析墨子比喻的类型及作用

墨子在谈辩中对比喻曾有灵活多变的运用.就整体而论,这些比喻可划分为同喻和异喻.其中,前者又可进一步划分为单喻、复喻和博喻,后者又可进一步划分为本体全异于喻体、本体弱于喻体和本体强于喻体.墨子谈辩中比喻的作用是多方面的,主要涉及阐释己见、驳斥论敌、催人省悟以及止事成义.     

Protein folds: molecular systematics in three dimensions

Advances in methods of structure determination have led to the accumulation of large amounts of protein structural data. Some 500 distinct protein folds have now been characterized, representing one-third of all globular folds that exist. The range of known structural types and the relatively large fraction of the protein universe that has already been sampled have greatly facilitated the discovery of some unifying principles governing protein structure and evolutionary relationships. These include a highly skewed distribution of topological arrangements of secondary-structure elements that favors a few very common connectivities and a highly skewed distribution in the capacity of folds to accommodate unrelated sequences. These and other observations suggest that the number of folds is far fewer than the number of genes, and that the fold universe is dominated by a small number of giant attractors that accommodate large numbers of unrelated sequences. Thus all basic protein folds will likely be determined in the near future, laying the foundation for a comprehensive understanding of the biochemical and cellular functions of whole organisms.     

仿射非线性一般模型控制的鲁棒稳定性分析

针对基于仿射非线性系统的一般模型控制(GMC)方法进行了鲁棒稳定性分析。首先证明了如果模型存在一个严格Lyapunov函数,当模型与过程的失配在一定范围内时,则过程总是Lyapunov稳定的。由此推广到采用GMC方法的闭环控制系统,在给出其显式控制律的前提下,证明了满足一定前提条件下,采用GMC的闭环控制系统总是Lya-punov稳定的。     

关于热力学函数关系式的推导

本文着重讨论运用雅可比行列式推导热力学关系式的技巧问题。     

元素为可测函数列的函数矩阵的收敛性

元素为可测函数的函数矩阵在微分方程,概率论,数理统计中都有重要的应用,本文主要讨论当aij(s)是[a,b]→R的可测函数时,对应的A(s)∶[a,b]→n×n阶函数矩阵收敛性质.     

ω-超广义函数的卷积运算

讨论ω-超广义函数间中的卷积运算，并且给出了一些超广义函数卷积运算的公式。     

Universal construction of control Lyapunov functions for a class of nonlinear systems

A method is developed by which control Lyapunov functions of a class of nonlinear systems can be constructed systematically.Based on the control Lyapunov function,a feedback control is obtained to stabilize the closed-loop system.In addition,this method is applied to stabilize the Benchmark system.A simulation shows the effectiveness of the method.     

Gauss波包的几何描述

改进了R.Penrose的方法,对自由粒子的Gauss波包波函数(概率幅度)赋予了更清楚的几何描述.并将波包中含有的每一个可能k值的平面波,解释为随机过程的一个可能的周期性样本函数,进而解释了“几率包的收缩“.     

分担值与正规定则

设F为单位圆盘上的一个亚纯函数族，a，b为两个判别的有穷复数，b≠0，如果A↓f∈F，f的零点至少是重级的，且E（a／f^（k））包含E（a,f），E（b,f^（k））包含E（b,f），则F在单位圆盘上正规．     

一类具有Ruscheweyh导数的解析函数

令A(p)(p≥1)表示形如f(z)=z~p a_(p 1)z~(p 1) …且在单位圆盘E内解析的函数类,引入一个A(p)中具有Ruscheweyh导数的新子类B_(n,p)(h(z),μ,λ),探讨了B_(n,p)(h(z),μ,λ)中函数的性质.